2x^2 - 3x = 2x - 2
2x^2 -5x + 2
Factoring:
1. find the two numbers that multiply to equal ac (2 • 2) and add to equal b (-5)
The numbers = -4, -1
2. Extend the b term into these two numbers.
2x^2 -4x - x + 2
3. Group the first two terms and the last two terms to each other.
(2x^2 - 4x)(-x + 2)
4. Take out the GCF's in the parentheses sections. Note: the terms inside both of the parentheses should be equal, or you have done something wrong.
2x(x - 2) - 1(x - 2)
5. Group the GCF's together alongside the equivalent parentheses sections.
(2x - 1)(x - 2)
You're done here, but IF you want to find the solutions, you have to set each of the new parentheses sections to zero and solve for x.
2x - 1 = 0 >> 2x = 1 >> x = 1/2
x - 2= 0 >> x = 2
In conclusion, your solutions are x = 1/2 and x = 2, and your factored equation is (2x - 1)(x - 2)
Hope this helps!!
